document.write( "Question 541294: The pocket money of Joan and Joyce are in the ratio10:8, If Joan has Rs. 20 more than Joyce, find the pocket money ofeach one? \n" ); document.write( "

Algebra.Com's Answer #354144 by josmiceli(19441) $\"\"$ $\"About$

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Let Joan's money = $\"a\"$
\n" ); document.write( "Let Joyce's money = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+a%2Fb+=+10%2F8+\"$
\n" ); document.write( " $\"+a%2Fb+=+5%2F4+\"$
\n" ); document.write( "(1) $\"+a+=+%285%2F4%29%2Ab+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+b+%2B+20+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+%285%2F4%29%2Ab+=+b+%2B+20+\"$
\n" ); document.write( "(2) $\"+5b+=+4b+%2B+80+\"$
\n" ); document.write( "(2) $\"+b+=+80+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+=+b+%2B+20+\"$
\n" ); document.write( "(2) $\"+a+=+80+%2B+20+\"$
\n" ); document.write( "(2) $\"+a+=+100+\"$
\n" ); document.write( "Joan has 100 Rs
\n" ); document.write( "Joyce has 80 Rs \n" ); document.write( "

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